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Anomalous Hall effect in anisotropic type-II Weyl semimetals

R. Martínez von Dossow*, A. Martín-Ruiz†, and L. F. Urrutia‡

  • Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, 04510 Ciudad de México, México

  • *Contact author: r.martinezvd@gmail.com
  • †Contact author: alberto.martin@nucleares.unam.mx
  • ‡Contact author: urrutia@nucleares.unam.mx
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Phys. Rev. D 113, 125022 – Published 17 June, 2026

DOI: https://doi.org/10.1103/45lv-wg6n

Abstract

We extend our previous analysis [Phys. Rev. D 109, 065005 (2024)] of CPT-odd electromagnetic response in tilted, anisotropic Weyl semimetals to the overtilted (type-II) regime, where electron and hole pockets coexist at the Fermi level. Starting from the minimal QED sector of the Standard Model extension matched to a lattice-motivated anisotropic Dirac Hamiltonian with tilt, we compute the zero-temperature finite-density effective action nonperturbatively from the vacuum polarization tensor, and corroborate the result using a complementary chiral kinetic theory formulation that consistently incorporates both Fermi-sea and Fermi-surface contributions. In the type-II regime the unbounded linear dispersion necessitates a physical ultraviolet regularization. Implementing a hard momentum cutoff tied to the lattice bandwidth, we show that the CPT-odd, axionlike response remains finite across the type-I to type-II Lifshitz transition, while acquiring tilt- and anisotropy-dependent renormalizations together with nonuniversal, cutoff-sensitive terms governed by the geometry of the electron and hole pockets. As a concrete application, we evaluate the anomalous Hall conductivity in the prototypical type-II Weyl semimetal WTe2, using parameters extracted from first-principles calculations and experiments, and find that Fermi-sea and Fermi-surface contributions are comparable and partially cancel, yielding a finite and strongly anisotropic Hall response characteristic of the overtilted regime.

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Physics Subject Headings (PhySH)

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Lorentz invariance violation and the CPT-odd electromagnetic response of a tilted anisotropic Weyl semimetal

Andrés Gómez, R. Martínez von Dossow, A. Martín-Ruiz, and Luis F. Urrutia
Phys. Rev. D 109, 065005 (2024)

Article Text

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Phys. Rev. D 113, 125022– Published 17 June, 2026
  • Received 13 February 2026
  • Accepted 18 May 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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